Damage Detection of the Pipes Conveying Fluid on the Pasternak Foundation Using the Matching Pursuit Method

The current study examines damage detection in fluid-conveying pipes supported on a Pasternak foundation. This study proposes a novel method that uses the matching pursuit (MP) algorithm for damage detection. The governing equations of motion for the pipe are derived using Hamilton's principle. The finite element method, combined with the Galerkin approach, is employed to obtain the mass, damping, and stiffness matrices. To identify damage locations through pipe mode-shape decomposition, an index called the "matching pursuit residual" is introduced as a novel contribution of this study. The proposed method facilitates damage detection at various levels and locations under different boundary conditions. The findings demonstrate that the MP residual damage index can accurately localize damage in the pipes. Furthermore, the results of the numerical and experimental tests showcase the efficiency of the proposed method, highlighting that the MP signal approximation algorithm effectively detects damage in structures.